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Spectral density method applied to the study of the energy spectrum of the XY model in a transverse field
Author(s) -
Bernardes L. A. B.,
Borges O. N.,
Ribeiro L. A. Amarante
Publication year - 1986
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221350216
Subject(s) - transverse plane , classical xy model , transverse field , spectral density , physics , polar , field (mathematics) , spectrum (functional analysis) , energy spectrum , gaussian , quantum electrodynamics , energy (signal processing) , spectral line , computational physics , condensed matter physics , statistical physics , quantum mechanics , mathematics , statistics , structural engineering , phase transition , pure mathematics , engineering , ising model
The energy spectrum of the XY model in a transverse field is studied by the spectral density method (SDM), using polar and Gaussian „ansätze”. Expressions for the critical temperature and critical transverse field are obtained. It is shown that, within some approximations, the static properties of this model are not modified by including damping effects in the elementary excitations.